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arXiv · 2101.01584

Characterization and Newton Complementary Dual of Quasi $f$-Ideals

F. U. Rehman·H. Hasan·H. Mahmood·M. A. Binyamin
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Abstract

The notion of quasi $f$-ideals was first presented in $[14]$ which generalize the idea of $f$-ideals. In this paper, we give the complete characterization of quasi $f$-ideals of degree greater or equal to $2$. Additionally, we show that the property of being quasi $f$-ideals remains the same after taking the Newton complementary dual of a squarefree monomial ideal $I$ provided that the minimal generating set of $I$ is perfect.

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F. U. Rehman, H. Hasan, H. Mahmood, M. A. Binyamin. 2021-01-05. Characterization and Newton Complementary Dual of Quasi $f$-Ideals. https://arxiv.org/abs/2101.01584

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